100200122129 has 2 divisors, whose sum is σ = 100200122130. Its totient is φ = 100200122128.

The previous prime is 100200122069. The next prime is 100200122153. The reversal of 100200122129 is 921221002001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54606342400 + 45593779729 = 233680^2 + 213527^2 .

It is an emirp because it is prime and its reverse (921221002001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100200122129 - 2⁸ = 100200121873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100200122129.

It is not a weakly prime, because it can be changed into another prime (100200122159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100061064 + 50100061065.

It is an arithmetic number, because the mean of its divisors is an integer number (50100061065).

Almost surely, 2^100200122129 is an apocalyptic number.

It is an amenable number.

100200122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200122129 is an equidigital number, since it uses as much as digits as its factorization.

100200122129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 100200122129 in words is "one hundred billion, two hundred million, one hundred twenty-two thousand, one hundred twenty-nine".